The thermomechanical instability of truncated conical shells made of functionally graded material under different uniform temperature rises is studied in this paper. It is assumed that the shell is a mixture of metal and ceramic, where its properties change as functions of the shell thickness. The mechanical properties of metal and ceramic are assumed to be temperature dependent. The governing equations are based on the first-order theory of shells and the Sanders non-linear kinematics equations. The results are obtained under different thermal conditions for three types of mechanical loading, namely hydrostatic pressure, axial compressive loading, and their combination. The results are validated with the known data in the literature.
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